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Finding the Fourth Proportional to 779.91, 1,169.46 and 415.41

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Solution

The fourth proportional to 779.91, 1,169.46 and 415.41 is: 622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.91 : 1,169.46 = 415.41 : x
  2. Step 2: Convert to fraction form
    779.91/1,169.46 = 415.41/x
  3. Step 3: Cross multiply
    779.91x = 1,169.46 × 415.41
  4. Step 4: Simplify right side
    779.91x = 485,805.38
  5. Step 5: Solve for x
    x = 485,805.38/779.91
  6. Step 6: Final answer
    x = 622.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.